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1140300224340 = 223571587456007
BaseRepresentation
bin10000100101111111001…
…100001001011101010100
311001000022111001021121020
4100211333030021131110
5122140313324134330
62231502515121140
7145245462660654
oct20457714113524
94030274037536
101140300224340
113aa664827022
12164bb82a31b0
13836b7106774
143d2958a6364
151e9dd9dd210
hex1097f309754

1140300224340 has 96 divisors (see below), whose sum is σ = 3243333187584. Its totient is φ = 299285857920.

The previous prime is 1140300224333. The next prime is 1140300224341. The reversal of 1140300224340 is 434220030411.

It is a self number, because there is not a number n which added to its sum of digits gives 1140300224340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1140300224341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2272617 + ... + 2728623.

It is an arithmetic number, because the mean of its divisors is an integer number (33784720704).

Almost surely, 21140300224340 is an apocalyptic number.

1140300224340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1140300224340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1621666593792).

1140300224340 is an abundant number, since it is smaller than the sum of its proper divisors (2103032963244).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1140300224340 is a wasteful number, since it uses less digits than its factorization.

1140300224340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456677 (or 456675 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 1140300224340 its reverse (434220030411), we get a palindrome (1574520254751).

The spelling of 1140300224340 in words is "one trillion, one hundred forty billion, three hundred million, two hundred twenty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 71 142 213 284 355 426 587 710 852 1065 1174 1420 1761 2130 2348 2935 3522 4260 5870 7044 8805 11740 17610 35220 41677 83354 125031 166708 208385 250062 416770 456007 500124 625155 833540 912014 1250310 1368021 1824028 2280035 2500620 2736042 4560070 5472084 6840105 9120140 13680210 27360420 32376497 64752994 97129491 129505988 161882485 194258982 267676109 323764970 388517964 485647455 535352218 647529940 803028327 971294910 1070704436 1338380545 1606056654 1942589820 2676761090 3212113308 4015141635 5353522180 8030283270 16060566540 19005003739 38010007478 57015011217 76020014956 95025018695 114030022434 190050037390 228060044868 285075056085 380100074780 570150112170 1140300224340